Question

Explain whether $3\times 12\times 101+4$ is a prime number or a composite number.

Answer 1

Solution:

Given $3\times 12\times 101+4$

We have to see it is prime or composite number

We know composite number has atleast three factors and every prime number has only how factors.

Now

$3\times 12\times 101+4=3\times 3\times 4\times 101+4$

$=4[3\times 3\times 101+1]$

$=4\times k\times 1=$ composite number

[It has more than two factors $4,K$ and $1$]

Therefore,

$3\times 12\times 101\times +4$ is a composite number